Interesting analysis, but what it doesn't really address is scale. The population of the USA is 5x that of Italy, and 6x that of Spain or South Korea. I think the analysis of the shapes of the graphs can be instructive, but not necessarily the numbers themselves. The US is in many ways more like a continent than a country.
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http://nrg.cs.ucl.ac.uk/mjh/covid19/#covid-world-norm2
http://nrg.cs.ucl.ac.uk/mjh/covid19/#covid-us-norm
http://nrg.cs.ucl.ac.uk/mjh/covid19/#deaths-us